11168787116160 has 512 divisors, whose sum is σ = 40877362022400. Its totient is φ = 2879074713600.

The previous prime is 11168787116117. The next prime is 11168787116239. The reversal of 11168787116160 is 6161178786111.

11168787116160 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 8 + 7 + 8 + 7 + 11 + 616 + 0 = 666.

It is a super-2 number, since 2×11168787116160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11168787116097 and 11168787116106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 504063802 + ... + 504085958.

It is an arithmetic number, because the mean of its divisors is an integer number (79838597700).

Almost surely, 2^{11168787116160} is an apocalyptic number.

11168787116160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11168787116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20438681011200).

11168787116160 is an abundant number, since it is smaller than the sum of its proper divisors (29708574906240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11168787116160 is a wasteful number, since it uses less digits than its factorization.

11168787116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23157 (or 23139 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 54.

The spelling of 11168787116160 in words is "eleven trillion, one hundred sixty-eight billion, seven hundred eighty-seven million, one hundred sixteen thousand, one hundred sixty".